Answer:
See solution below
Step-by-step explanation:
According to pythagoras theorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 + b^2
100 = 16 + b^2
b^2 = 100-16
b^2 = 84
b = √84
b ≈ 9
Using SOH CHA TOA identity
sin B = AC/AB
Sin B = 9/10
B = arcsin0.9
B ≈ 64degrees
sinA = BC/AB
Sin A = 4/10
A = arcsin0.4
A ≈ 24degrees
Answer:
Check below
Step-by-step explanation:
1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10
.
2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

Bear in mind these useful relations:



Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is

Since there are n logs in the pile, so we get

Thus, the total number of logs in the pile is 6.
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
Multiply every number from the small octagon by 7 then add the products to get 238.